Answer:
<em>160°</em>
<em />
Step-by-step explanation:
We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).
<em>that would mean that Angle KAW is </em><em>half </em><em>of measure of Arc KW.</em> Thus we can write:
m∠A = 0.5 (arc KE + arc EW)
x+45 =0.5 (x+20+3x)
x+45 = 0.5(4x+20)
x+45 = 2x + 10
45 - 10 = 2x - x
Thus, x = 35
<em>Since Arc KW = Arc KE + Arc EW and x = 35, we can say:</em>
<em>Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°</em>
Answer:
(B) Slope increases, correlation increases
Step-by-step explanation:
The plot graph is having a positive correlation with all of the dots located near the line. The new tenth data is located in the bottom left, touching the right side of the line. Since the new data is very close to the line, the correlation will increase. The data is located on the right of the line so it will shift the line to the right. If the bottom part of the line shift to the right, the slope will become higher.
Given:
The perimeter of a backyard basketball court with four sides is 90 feet.
Two sides of the court are each 20 feet long.
One side of the court is 25 feet long.
To find:
The missing side length of the basketball court.
Solution:
Let x be the missing side length.
The three given sides of the basketball court are 20 feet, 20 feet, 25 feet.
We know that the perimeter is the sum of all sides.
The perimeter of a backyard basketball court with four sides is 90 feet.
Therefore, the missing side length is 25 feet and the correct option is B.
Answer:
The first one is F' each one is around $36
It would be 400. Hope this helped. :)
